Finite Group Databasebeta

← Group #11787226

Character table — Group #11787226

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size11111111222244444444444444444444444488881212121212121212121212121212121212121212121212121818181824242424242424242424242436363636363636363636
order122244442244336666666666121212121212121212121212661212888888882424242424242424242424242424242422442444661212121212122444444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111
χ511111111-1-1-1-11111-1-1-1-1111111-1-1-1-1111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111-1-1111-1-1-1-111-1-11111-1-1-1-1
χ611111111-1-1-1-11111-1-1-1-1111111-1-1-1-1111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-111-1-1-11111-1-1-1-1-1-1-1-11111
χ711111111-1-1-1-11111-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111-1-1111-1-1-1-111-1-1-1-1-1-11111
χ811111111-1-1-1-11111-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-111-1-1-11111-1-1-1-11111-1-1-1-1
χ91111-1-1-1-111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1ii−i−iii−i−iiiii−i−i−i−iiiii−i−i−i−i-1-11111-1-11111-1-1-1-1-11ii−i−iii−i−i
χ101111-1-1-1-111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1ii−i−iii−i−iiiii−i−i−i−iiiii−i−i−i−i-1-111-1-111-1-1-1-11111-11−i−iii−i−iii
χ111111-1-1-1-111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1−i−iii−i−iii−i−i−i−iiiii−i−i−i−iiiii-1-11111-1-11111-1-1-1-1-11−i−iii−i−iii
χ121111-1-1-1-111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1−i−iii−i−iii−i−i−i−iiiii−i−i−i−iiiii-1-111-1-111-1-1-1-11111-11ii−i−iii−i−i
χ131111-1-1-1-1-1-1111111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-111ii−i−i−i−iiiiiii−i−i−i−i−i−i−i−iiiii-1-1111-11-111-1-111-1-11-1ii−i−i−i−iii
χ141111-1-1-1-1-1-1111111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-111ii−i−i−i−iiiiiii−i−i−i−i−i−i−i−iiiii-1-111-11-11-1-111-1-1111-1−i−iiiii−i−i
χ151111-1-1-1-1-1-1111111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-111−i−iiiii−i−i−i−i−i−iiiiiiiii−i−i−i−i-1-1111-11-111-1-111-1-11-1−i−iiiii−i−i
χ161111-1-1-1-1-1-1111111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-111−i−iiiii−i−i−i−i−i−iiiiiiiii−i−i−i−i-1-111-11-11-1-111-1-1111-1ii−i−i−i−iii
χ172222222222222222222222222222222222222222000000000000000000000000-2-2-2-2000000000000-2-200000000
χ1822222222-2-2-2-22222-2-2-2-2222222-2-2-2-2222222-2-2-2-2000000000000000000000000-2-2-2-20000000000002200000000
χ192222-2-2-2-222-2-2222222222222-2-2-2-2-2-2-2-2-2-2-2-222-2-200000000000000000000000022-2-20000000000002-200000000
χ202222-2-2-2-2-2-2222222-2-2-2-22222-2-22222-2-2-2-2-2-2-2-22200000000000000000000000022-2-2000000000000-2200000000
χ2122-2-22i−2i2i−2i2-22i−2i222-222-2-2-22-2-22i−2i2i2i−2i−2i2i2i−2i−2i2i−2i2-22i−2i0000000000000000000000000000000000000000001+i−1−i1−i−1+i1+i−1−i1−i−1+i
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χ2322-2-22i−2i2i−2i-22−2i2i222-2-2-222-22-2-22i−2i−2i−2i2i2i2i2i−2i−2i2i−2i-22−2i2i0000000000000000000000000000000000000000001+i−1−i1−i−1+i−1−i1+i−1+i1−i
χ2422-2-22i−2i2i−2i-22−2i2i222-2-2-222-22-2-22i−2i−2i−2i2i2i2i2i−2i−2i2i−2i-22−2i2i000000000000000000000000000000000000000000−1−i1+i−1+i1−i1+i−1−i1−i−1+i
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χ2622-2-2−2i2i−2i2i2-2−2i2i222-222-2-2-22-2-2−2i2i−2i−2i2i2i−2i−2i2i2i−2i2i2-2−2i2i000000000000000000000000000000000000000000−1+i1−i−1−i1+i−1+i1−i−1−i1+i
χ2722-2-2−2i2i−2i2i-222i−2i222-2-2-222-22-2-2−2i2i2i2i−2i−2i−2i−2i2i2i−2i2i-222i−2i0000000000000000000000000000000000000000001−i−1+i1+i−1−i−1+i1−i−1−i1+i
χ2822-2-2−2i2i−2i2i-222i−2i222-2-2-222-22-2-2−2i2i2i2i−2i−2i−2i−2i2i2i−2i2i-222i−2i000000000000000000000000000000000000000000−1+i1−i−1−i1+i1−i−1+i1+i−1−i
χ292-2-2222-2-2000022-2-200002-2-222200002-22-2-2-2000000002i−2i2i−2i000000002i2i−2i−2i2i2i−2i−2i2-22-20000000000000000000000
χ302-2-2222-2-2000022-2-200002-2-222200002-22-2-2-200000000−2i2i−2i2i00000000−2i−2i2i2i−2i−2i2i2i2-22-20000000000000000000000
χ312-2-2222-2-2000022-2-200002-2-222200002-22-2-2-200002i−2i2i−2i00002i2i−2i−2i2i2i−2i−2i00000000-22-220000000000000000000000
χ322-2-2222-2-2000022-2-200002-2-222200002-22-2-2-20000−2i2i−2i2i0000−2i−2i2i2i−2i−2i2i2i00000000-22-220000000000000000000000
χ332-2-22-2-222000022-2-200002-2-22-2-20000-22-2222000000002-2-220000000022-2-2-2-222-222-20000000000000000000000
χ342-2-22-2-222000022-2-200002-2-22-2-20000-22-222200000000-222-200000000-2-22222-2-2-222-20000000000000000000000
χ352-2-22-2-222000022-2-200002-2-22-2-20000-22-222200002-2-22000022-2-2-2-222000000002-2-220000000000000000000000
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χ4144444444-4-4-4-41-211-1-1-1-11-2-2-211-1-1-1-1-2-2-2-21122222222-2-2-2-2-1-1-1-1-1-1-1-11111111100000000000000000000000000
χ4244444444-4-4-4-41-211-1-1-1-11-2-2-211-1-1-1-1-2-2-2-2112222-2-2-2-2222211111111-1-1-1-1-1-1-1-100000000000000000000000000
χ4344444444-4-4-4-4-21-2-22222-2111-2-222221111-2-2-1-1-1-100000000000000000000000000002-2-22-1-11111-1-10000000000
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χ464444-4-4-4-444-4-41-21111111-2-2-2-1-1-1-1-1-12222-1-1-2-222−2i−2i2i2i−2i−2i2i2iiiii−i−i−i−iiiii−i−i−i−i00000000000000000000000000
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χ484444-4-4-4-444-4-4-21-2-2-2-2-2-2-2111222222-1-1-1-12211-1-10000000000000000000000000000-2-2221111-1-1-1-10000000000
χ494444-4-4-4-4-4-4441-211-1-1-1-11-2-2-2-1-111112222-1-122-2-22i2i−2i−2i−2i−2i2i2i−i−i−i−iiiiiiiii−i−i−i−i00000000000000000000000000
χ504444-4-4-4-4-4-4441-211-1-1-1-11-2-2-2-1-111112222-1-122-2-2−2i−2i2i2i2i2i−2i−2iiiii−i−i−i−i−i−i−i−iiiii00000000000000000000000000
χ514444-4-4-4-4-4-444-21-2-22222-211122-2-2-2-2-1-1-1-122-1-11100000000000000000000000000002-22-2-1-111-1-1110000000000
χ524444-4-4-4-4-4-444-21-2-22222-211122-2-2-2-2-1-1-1-122-1-1110000000000000000000000000000-22-2211-1-111-1-10000000000
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χ834-4-44-4-44400001-2-1-13-3-33122-2-1-1-333-32-22-21100002-2-222-2-22-1-11111-1-1-1-11111-1-100000000000000000000000000
χ844-4-44-4-44400001-2-1-13-3-33122-2-1-1-333-32-22-2110000-222-2-222-211-1-1-1-11111-1-1-1-11100000000000000000000000000
χ854-4-44-4-44400001-2-1-1-333-3122-2-1-13-3-332-22-21100002-2-22-222-2-1-11111-1-111-1-1-1-11100000000000000000000000000
χ864-4-44-4-44400001-2-1-1-333-3122-2-1-13-3-332-22-2110000-222-22-2-2211-1-1-1-111-1-11111-1-100000000000000000000000000
χ878-88-88i−8i−8i8i0000-424-400004-22-2−4i4i00002i−2i−2i2i4i−4i000000000000000000000000000000000000000000000000000000
χ888-88-8−8i8i8i−8i0000-424-400004-22-24i−4i0000−2i2i2i−2i−4i4i000000000000000000000000000000000000000000000000000000
χ898-8-8888-8-80000-42440000-4-2-22-4-400002-22-244000000000000000000000000000000000000000000000000000000
χ908-8-88-8-8880000-42440000-4-2-22440000-22-22-4-4000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.